Pith Number

pith:X5OVGANM

pith:2017:X5OVGANMZ4LXJZSKLTJESCCYKD

not attested not anchored not stored refs pending

Set-Direct Factorizations of Groups

Attila Mar\'oti, Dan Levy

arxiv:1707.04643 v2 · 2017-07-14 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5OVGANMZ4LXJZSKLTJESCCYKD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:03:41.747651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5d5301accf1774e64a5cd249085850c06c13ff5dd1983d677950a196274f28

Aliases

arxiv: 1707.04643 · arxiv_version: 1707.04643v2 · doi: 10.48550/arxiv.1707.04643 · pith_short_12: X5OVGANMZ4LX · pith_short_16: X5OVGANMZ4LXJZSK · pith_short_8: X5OVGANM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5OVGANMZ4LXJZSKLTJESCCYKD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bf5d5301accf1774e64a5cd249085850c06c13ff5dd1983d677950a196274f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92003dbd853a0d7e21366f80de55e7fd4a61b1eeebad68b3531c5c6f02392413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-07-14T21:19:21Z",
    "title_canon_sha256": "516df8cc1f6687667e1fa673af3ff134c2600b95b6264ef1cf0290e0b77f966f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04643",
    "kind": "arxiv",
    "version": 2
  }
}